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Finding the Third Proportional to 855.84 and 1,845.56

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Solution

The third proportional to 855.84 and 1,845.56 is: 3,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.84 : 1,845.56 = 1,845.56 : x
  2. Step 2: Convert to fraction form
    855.84/1,845.56 = 1,845.56/x
  3. Step 3: Cross multiply
    855.84x = 1,845.56 × 1,845.56
  4. Step 4: Simplify right side
    855.84x = 3,406,100.94
  5. Step 5: Solve for x
    x = 3,406,100.94/855.84
  6. Step 6: Final answer
    x = 3,979.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.